Question

43. A one sample test for a proportion is being performed. If the critical value is 2.33 and the test statistics is 1.37, a) The null hypothesis should not be rejected. b) The alternative hypothesis cannot be rejected. c) The null hypothesis should be rejected. d) The sample size should be decreased.

Answer 1

Option A) The null hypothesis should not be rejected.

Explanation:

We are given the following in the question:

A one sample test for a proportion is being performed.

Critical Value = 2.33

Test statistic = 1.37

Since the critical value is positive and the calculated test statistic is positive, thus it is a right tailed test for a proportion.

The null and alternate hypothesis can be written as:

`H_(0): p \leq p_0\\H_A: p > p_0`

Since the calculated test statistic is less than the critical value, we fail to reject the null hypothesis.

We accept the null hypothesis.

Thus, the correct answer is

Option A) The null hypothesis should not be rejected.